95456800 has 36 divisors (see below), whose sum is σ = 233035866. Its totient is φ = 38182400.

The previous prime is 95456797. The next prime is 95456807. The reversal of 95456800 is 865459.

It can be written as a sum of positive squares in 3 ways, for example, as 86044176 + 9412624 = 9276^2 + 3068^2 .

It is a super-2 number, since 2×95456800² = 18224001332480000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 95456800.

It is not an unprimeable number, because it can be changed into a prime (95456807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58861 + ... + 60460.

Almost surely, 2^95456800 is an apocalyptic number.

It is an amenable number.

95456800 is an abundant number, since it is smaller than the sum of its proper divisors (137579066).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

95456800 is a wasteful number, since it uses less digits than its factorization.

95456800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119341 (or 119328 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 95456800 is about 9770.1995885447. The cubic root of 95456800 is about 457.0204396912.

The spelling of 95456800 in words is "ninety-five million, four hundred fifty-six thousand, eight hundred".